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Bumek [7]
3 years ago
6

If A, B, and C are the vertices of a triangle, find AB + BC + CA.

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

<h2>0</h2>

Step-by-step explanation:

When drawing a triangle, note that the vectors can be drawn either in a clockwise or anticlockwise direction. For a triangle with vertices A, B and C, te vectors are AB, BC and CA

In vector notation CA = - AC (length CA is equal to AC but acting in opposite direction to AC)

and AB+BC = AC

To evaluate AB + BC + CA, we will substitute the vector expression above into the given expression and simplify as shown;

= (AB + BC) + CA

= AC + (-AC)

open the parenthesis

= AC-AC

= 0

<em>Hence the sum of the vector expression AB + BC + CA is a zero vector</em>

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Nonamiya [84]

Hold the "3" for a moment and find the rational fraction that produces 0.24 with a bar over the 24:

0.24242424 ... = (first term) / (1 - common ratio)

= 0.24 / (1 - 0.01)

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Then the rational number desired is 3 8/33; if you want to combine this result into one fraction, you'd get (99+8)/33, or 107/33. Check this yourself; the result is 3.24242424.....

5 0
3 years ago
(WILL GIVE BRAINLIEST)
weeeeeb [17]

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

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Subtract 37 from both sides.

11x=143

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Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

m<I=39+18

m<I=57

We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

m<K=65+1

m<K=66

We know this is correct because 57+57+66=180.

4 0
3 years ago
What is (2/3)^4 <br> does anybody know?
Sveta_85 [38]

Answer:

<h2>16/18</h2>

Step-by-step explanation:

<h2>hopes this helps. Mark as brainlest plz!</h2>
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3 years ago
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8_murik_8 [283]

Answer:

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Step-by-step explanation:

divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.

8 0
2 years ago
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The ratio 64 to 96 in simplest form is<br> 3
dybincka [34]

Answer:

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Step-by-step explanation:

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